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Current–voltage characteristics and conductance spectra in s-wave or d-wave superconductor/ferromagnet/superconductor heterojunctions: role of Andreev reflection

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Abstract

In recent years, the investigation of transport properties of hybrid structures consisting of two superconductors connected by a ferromagnet has been the subject of many studies. Their dynamic properties are closely related to the Andreev scattering and spin polarization in ferromagnet barrier. This kind of junction offer the possibility to study interplay between the phase coherent propagation of Andreev pairs and various decoherence mechanisms. We review a quantitative theory developed in the last decade for describing quasiparticle transport properties in superconductor/ferromagnet (F)/superconductor junctions where superconducting electrodes could have s-wave (SFS junction) or d-wave (DFD junction) symmetry. In the relaxation-time approximation utilizing the time-dependent Bogoliubov–de Gennes equations the current–voltage characteristic and conductance are calculated. The obtained results provides possibility to experimentally determine value of weak exchange field in ferromagnets and order parameter of superconductors in this kind of junctions.

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References

  1. A.A. Golubov, MYu. Kupriyanov, E. Ilichev, Rev. Mod. Phys. 76, 411 (2004)

    Article  ADS  Google Scholar 

  2. A.I. Buzdin, Rev. Mod. Phys. 77, 935 (2005)

    Article  ADS  Google Scholar 

  3. F.S. Bergeret, A.F. Volkov, K.B. Efetov, Rev. Mod. Phys. 77, 1321 (2005)

    Article  ADS  Google Scholar 

  4. C.W.J. Beenakker, H. van Houten, Phys. Rev. Lett. 66, 3056 (1991)

    Article  ADS  Google Scholar 

  5. C.W.J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991)

    Article  ADS  Google Scholar 

  6. B.J. van Wees, K.M.H. Lenssen, C.J.P.M. Harmans, Phys. Rev. B 44, 470 (1991)

    Article  ADS  Google Scholar 

  7. A. Furusaki, H. Takayanagi, M. Tsukada, Phys. Rev. B 45, 1056 (1992)

    Article  ADS  Google Scholar 

  8. P.F. Bagwell, Phys. Rev. B 46(12), 473 (1992)

    Google Scholar 

  9. A.F. Andreev, Zh. Eksp, Teor. Fiz. 49, 655 (1965)

    Google Scholar 

  10. A.F. Andreev, Sov. Phys. JETP 22, 455 (1966)

    ADS  Google Scholar 

  11. I.O. Kulik, Zh. Eksp, Teor. Fiz. 57, 1745 (1969)

    Google Scholar 

  12. I.O. Kulik, Sov. Phys. JETP 30, 944 (1970)

    ADS  Google Scholar 

  13. J. Bardeen, J.L. Johnson, Phys. Rev. B 5, 72 (1972)

    Article  ADS  Google Scholar 

  14. A. Furusaki, M. Tsukada, Phys. Rev. B 43, 10164 (1991)

    Article  ADS  Google Scholar 

  15. T.M. Klapwijk, G.E. Blonder, M. Tinkham, Phys. B 109–110, 1657 (1982)

    Article  Google Scholar 

  16. M. Octavio, M. Tinkham, G.E. Blonder, T.M. Klapwijk, Phys. Rev. B 27, 6739 (1983)

    Article  ADS  Google Scholar 

  17. G.B. Arnold, J. Low Temp. Phys. 68, 1 (1987)

    Article  ADS  Google Scholar 

  18. U. Gunsenheimer, A.D. Zaikin, Phys. Rev. B 50, 6317 (1994)

    Article  ADS  Google Scholar 

  19. R. Kümmel, U. Gunsenheimer, R. Nicolsky, Phys. Rev. B 42, 3992 (1990)

  20. V.V. Ryazanov, V.A. Oboznov, A.Y. Rusanov, A.V. Veretennikov, A.A. Golubov, J. Aarts, Phys. Rev. Lett. 86, 2427 (2001)

    Article  ADS  Google Scholar 

  21. V.V. Ryazanov, V.A. Oboznov, A.V. Veretennikov, A.Y. Rusanov, Phys. Rev. B 65, 020501(R) (2001)

    Article  ADS  Google Scholar 

  22. T. Kontos, M. Aprili, J. Lesueur, F. Genêt, B. Stephanidis, R. Boursier, Phys. Rev. Lett. 89, 137007 (2002)

  23. Y. Blum, A. Tsukernik, M. Karpovski, A. Palevski, Phys. Rev. Lett. 89, 187004 (2002)

    Article  ADS  Google Scholar 

  24. H. Sellier, C. Baraduc, F. Lefloch, R. Calemezuk, Phys. Rev. Lett. 92, 257005 (2004)

    Article  ADS  Google Scholar 

  25. J.W. Robinson, S. Piano, G. Burnell, C. Bell, M.G. Blamire, Phys. Rev. B 76, 094522 (2007)

    Article  ADS  Google Scholar 

  26. A.A. Bannykh, J. Pfeiffer, V.S. Stolyarov, I.E. Batov, V.V. Ryazanov, M. Weides, Phys. Rev. B 79, 054501 (2009)

    Article  ADS  Google Scholar 

  27. J. Pfeiffer, M. Kemmler, D. Koelle, R. Kleiner, E. Goldobin, M. Weides, A.K. Feofanov, J. Lisenfeld, A.V. Ustinov, Phys. Rev. B 77, 214506 (2008)

    Article  ADS  Google Scholar 

  28. F. Born, M. Siegel, E.K. Hollmann, H. Braak, A.A. Golubov, DYu. Gusakova, MYu. Kupriyanov, Phys. Rev. B 74, 140501(R) (2006)

    Article  ADS  Google Scholar 

  29. V.M. Krasnov, O. Ericsson, S. Intiso, P. Delsing, V.A. Oboznov, A.S. Prokofiev, V.V. Ryazanov, Physica C 418, 16 (2005)

    Article  ADS  Google Scholar 

  30. M. Weides, M. Kemmler, H. Kohlstedt, R. Waser, D. Koelle, R. Kleiner, E. Goldobin, Phys. Rev. Lett. 97, 247001 (2006)

    Article  ADS  Google Scholar 

  31. A. Martín-Rodero. A. Levy Yeyati, J.C. Cuevas, Physica C 352, 67 (2001)

  32. A.S. Vasenko, S. Kawabata, A.A. Golubov, MYu. Kupriyanov, C. Lacroix, F.S. Bergeret, F.W.J. Hekking, Phys. Rev. B 84, 024524 (2011)

    Article  ADS  Google Scholar 

  33. M. Anderson, J.C. Cuevas, M. Fogelstrom, Physica C 367, 171 (2002)

    Article  Google Scholar 

  34. I.V. Bobkova, A.M. Bobkov, Phys. Rev. B 74, 220504(R) (2006)

    Article  ADS  Google Scholar 

  35. I.V. Bobkova, Phys. Rev. B 73, 012506 (2006)

    Article  ADS  Google Scholar 

  36. V. Štrbík, Š. Beňačka, Š. Gaži, V. Šmatko, Š. Chromik, A. Dujavová, I. Vávra, J. Elect. Eng. 62, 109 (2011)

  37. Z.Y. Chen, A. Biswas, I. Žutic, T. Wu, S.B. Ogale, R.L. Greene, T. Venkatesan, Phys. Rev. B 63, 212508 (2001)

    Article  ADS  Google Scholar 

  38. P.S. Luo, H. Wu, F.C. Zhang, C. Cai, X.Y. Qi, X.L. Dong, W. Liu, X.F. Duan, B. Xu, L.X. Cao, X.G. Qiu, B.R. Zhao, Phys. Rev. B 71, 094502 (2005)

    Article  ADS  Google Scholar 

  39. U. Schoop, M. Schonecke, S. Thienhaus, F. Herbstritt, J. Klein, L. Alff, R. Gross, Physica C 350, 237 (2001)

    Article  ADS  Google Scholar 

  40. G. Koren, T. Kirzhner, P. Aronov, Phys. Rev. B 85, 024514 (2012)

    Article  ADS  Google Scholar 

  41. I. Asulin, O. Yuli, G. Koren, O. Millo, Phys. Rev. B 74, 092501 (2006)

    Article  ADS  Google Scholar 

  42. I. Asulin, O. Yuli, I. Felner, G. Koren, O. Millo, Phys. Rev. B 76, 064507 (2007)

    Article  ADS  Google Scholar 

  43. T.P. Deveraux, P. Fulde, Phys. Rev. B 47, 14638 (1993)

    Article  ADS  Google Scholar 

  44. Z. Popović, L. Dobrosavljević - Grujić, R. Zikic, Phys. Rev. B 85 174510 (2012)

  45. Z. Popović, L. Dobrosavljević - Grujić, R. Zikic, J. Phys. Soc. Jpn. 82, 114714 (2013)

  46. Z. Popović, R. Zikic, L. Dobrosavljević - Grujić, Prog. Theor. Exp. Phys. 2015 103I01 (2015)

  47. Z. Popović, P. Miranović, R. Zikic, Phys. Status Solidi B 255, 1700554 (2018)

    Article  ADS  Google Scholar 

  48. R. Kümmel, W. Senftinger, Z. Phys. B 59, 257 (1985)

  49. B. Mühlschlegel, Z. Phys. 155 313 (1959)

  50. L. Dobrosavljević-Grujić, R. Zikic, Z. Radović, Physica C 331, 254 (2000)

    Article  ADS  Google Scholar 

  51. R. Zikic, L. Dobrosavljević-Grujić, Z. Radović, Phys. Rev. B 59, 14644 (1999)

    Article  ADS  Google Scholar 

  52. D. Averin, A. Bardas, Phys. Rev. Lett. 75, 1831 (1995)

    Article  ADS  Google Scholar 

  53. S.K. Yip, Phys. Rev. B 58, 5803 (1998)

    Article  ADS  Google Scholar 

  54. R. Kümmel, W. Senftinger, Z. Phys. B 59, 275 (1985)

  55. S.K. Upadhyay, A. Palanisami, R.N. Louie, R.A. Buhrman, Phys. Rev. Lett. 81, 3247 (1998)

    Article  ADS  Google Scholar 

  56. M.J.M. de Jong, C.W.J. Beeenakker, Phys. Rev. Lett. 74, 1657 (1995)

    Article  ADS  Google Scholar 

  57. O. Vávra, Š. Gaži, I. Vavra, J. Derer, E. Kováčová, Physica C 404, 395 (2004)

  58. J.C. Cuevas, A. Martín-Rodero, A. Levy Yeyaty, Phys. Rev. B 54, 7366 (1996)

  59. A. Poenicke, J.C. Cuevas, M. Fogelstrøm, ibid. 65, 220510(R) (2002)

  60. Z. Popović, S. Kuzmichev, T. Kuzmicheva, J. Appl. Phys. 128, 013901 (2020)

    Article  ADS  Google Scholar 

  61. S.A. Kuzmichev, T.E. Kuzmicheva, Low. Temp. Phys. 42, 1008 (2016)

    Article  ADS  Google Scholar 

  62. M.Q. Huang, Z.G. Ivanov, P.V. Komissinski, T. Claeson, Physica C 326–327, 79 (2000)

    Google Scholar 

  63. R. Dömel, C.L. Jia, C. Copetti, G. Ockenfuss, A.I. Braginski, Supercond. Sci. Technol. 7, 277 (1994)

    Article  ADS  Google Scholar 

  64. K. Senepati, R.C. Budhani, Pramana J. Phys. 69, 267 (2007)

    Article  ADS  Google Scholar 

  65. L.Y. Yang, Z.M. Zheng, H.L. Yu, G.Y. Sun, D.Y. Xing, Eur. Phys. J. B 39, 377 (2004)

    Article  ADS  Google Scholar 

  66. A. Ozaeta, A.S. Vasenko, F.W.J. Hekking, F.S. Bergeret, Phys. Rev. B 86, 060509(R) (2012)

    Article  ADS  Google Scholar 

  67. A. Ozaeta, A.S. Vasenko, F.W.J. Hekking, F.S. Bergeret, Phys. Rev. B 85, 174518 (2012)

    Article  ADS  Google Scholar 

  68. A.S. Vasenko, A. Ozaeta, S. Kawabata, F.W.J. Hekking, F.S. Bergeret, J. Supercond. Nov. Magn. 26, 1951 (2013)

    Article  Google Scholar 

  69. A.S. Vasenko, S. Kawabata, A. Ozaeta, A.A. Golubov, V.S. Stolyarov, F.S. Bergeret, F.W.J. Hekking, J. Magn. Magn. Mater. 383, 175 (2015)

    Article  ADS  Google Scholar 

  70. S. Yu. Grebenchuk, Zh.A. Devizorova, I.A. Golovchanskiy, I.V. Shchetinin, G.-H. Cao, A.I. Buzdin, D. Roditchev, V.S. Stolyarov, Phys. Rev. B 102, 144501 (2020)

    Article  ADS  Google Scholar 

  71. L. Ya. Vinnikov, I.S. Veshchunov, M.S. Sidel’nikov, V.S. Stolyarov, S.V. Egorov, O.V. Skryabina, W. Jiao, G. Cao, T. Tamegai, JETP Lett. 109, 521 (2019)

    Article  ADS  Google Scholar 

  72. T. Hirai, Y. Tanaka, N. Yoshida, Y. Asano, J. Inoue, S. Kashiwaya, Phys. Rev. B 67, 174501 (2003)

    Article  ADS  Google Scholar 

  73. Z. Popović, P. Miranović, Prog. Theor. Exp. Phys. 2018, 043I01 (2018)

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Acknowledgements

The research presented in this paper results from the long-standing collaboration between University of Montenegro and University of Belgrade which was initiated by Prof. Ljiljana Dobrosavljević-Grujić thirty years ago, which continuous and develops with perspective to include more young researches from Serbia and Montenegro. We acknowledge the support by Bilateral Serbia-Montenegro Project No. 451-03-02263/2018-09/6. The work of ZP was also supported by the Serbian Ministry of Science, Technological Development and Innovation, Project No. 451-03-47/2023-01/200162.

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Correspondence to Predrag Miranović.

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Popović, Z., Miranović, P. Current–voltage characteristics and conductance spectra in s-wave or d-wave superconductor/ferromagnet/superconductor heterojunctions: role of Andreev reflection. Eur. Phys. J. Plus 138, 767 (2023). https://doi.org/10.1140/epjp/s13360-023-04394-3

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